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Properties

Properties. Commutative property of addition. Order doesn’t matter! Uses an addition sign. Example:. Commutative property of multiplication. Order doesn’t matter! Uses a multiplication sign. Example:. associative property of addition.

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Properties

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  1. Properties

  2. Commutative property of addition • Order doesn’t matter! • Uses an addition sign Example:

  3. Commutative property of multiplication • Order doesn’t matter! • Uses a multiplication sign Example:

  4. associative property of addition • Order stays the same, but the terms are regrouped. • Uses addition sign throughout problem Example:

  5. associative property of multiplication • Order stays the same, but the terms are regrouped. • Uses multiplication sign throughout problem Example:

  6. Reflexive property • Same thing (same order) on each side of the equal sign Examples:

  7. Symmetric property • Switch sides! (do not change order of terms on each side) Examples: If If then then

  8. Transitive property • If , then Example: • If , then

  9. Substitution property of equality • Replacing an expression by another expression of the same value Example:

  10. Identity property of Addition • Add zero to a term so the term does not change Example:

  11. Identity property of multiplication • Multiply by one so the term does not change Example:

  12. Property of opposites • Combining opposite numbers results in 0. Examples:

  13. Distributive property • Multiply to each term inside parenthesis Examples:

  14. Multiplicative property of zero • Anything times zero equals zero! Example:

  15. Multiplicative property of -1 • Multiply by the opposite reciprocal so the result is -1 Example:

  16. Addition property of equality • Add the same thing on both sides of an equation. Example:

  17. Subtraction property of equality • Subtract the same thing on both sides of an equation. Example:

  18. multiplication property of equality • Multiply the same thing on both sides of an equation. Example:

  19. division property of equality • Divide the same thing on both sides of an equation. Example:

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